We propose a weighted analogue of Ripley’s K-function for assessing the fit of point process models. The advantage of the proposed measure is that it can be used in situations where the null hypothesis is not a stationary Poisson model. We present its distributional properties for a spatial, two-dimensional inhomogeneous Poisson process and use it to assess the goodness-of-fit of two alternativ...

In many common situations, a Bayesian credible interval will be, given the same data, very similar to frequentist confidence interval, and researchers interpret these intervals in fashion. However, no predictable similarity exists when are based on model-averaged posteriors whenever one of two nested models under consideration is so called “point-null”. Not only can this be quite different than...

background: acute myeloid leukemia, as most cancers, results from exposure to carcinogens and an impaired inherited individual capacity to eliminate xenobiotics. the present case-control study measures the relationship between glutathione s-transferase (gst) t1 and m1 null genotypes and the risk of acute myeloid leukemia. methods: we identified the gstt1 andgstm1 genotypes by multiplex polymera...

When testing a point null hypothesis versus an alternative that is vaguely speciied, a Bayesian test usually proceeds by putting a nonparametric prior on the alternative and then computing a Bayes factor based on the observations. This paper addresses the question of consistency, that is, whether the Bayes factor is correctly indicative of the null or the alternative as sample size increases. W...

We study nonlinear semigroups of holomorphic mappings in Banach spaces and their infinitesimal generators. Using resolvents, we characterize, in particular, bounded holomorphic generators on bounded convex domains and obtain an analog of the Hille exponential formula. We then apply our results to the null point theory of semi-plus complete vector fields. We study the structure of null point set...

When testing a point null hypothesis versus an alternative that is vaguely speci ed, a Bayesian test usually proceeds by putting a non-parametric prior on the alternative and then computing a Bayes factor based on the observations. This paper addresses the question of consistency, that is, whether the Bayes factor is correctly indicative of the null or the alternative as the sample size increas...

Recently, a de-Sitter epoch has been found in the new model of loop quantum cosmology which is governed by scalar constraint with both Euclidean and Lorentz terms. The singularity free bounce LQC emergent constant strongly suggest that effective stress energy tensor induced corrections must violate standard conditions. In this paper, we do an explicit calculation to analyze behaviours specific ...